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Finding the Fourth Proportional to 2,222.93, 3,067.59 and 1,228.22

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Solution

The fourth proportional to 2,222.93, 3,067.59 and 1,228.22 is: 1,694.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.93 : 3,067.59 = 1,228.22 : x
  2. Step 2: Convert to fraction form
    2,222.93/3,067.59 = 1,228.22/x
  3. Step 3: Cross multiply
    2,222.93x = 3,067.59 × 1,228.22
  4. Step 4: Simplify right side
    2,222.93x = 3,767,675.39
  5. Step 5: Solve for x
    x = 3,767,675.39/2,222.93
  6. Step 6: Final answer
    x = 1,694.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.